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Finding the Fourth Proportional to 4,634.56, 6,400 and 2,981.44

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Solution

The fourth proportional to 4,634.56, 6,400 and 2,981.44 is: 4,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.56 : 6,400 = 2,981.44 : x
  2. Step 2: Convert to fraction form
    4,634.56/6,400 = 2,981.44/x
  3. Step 3: Cross multiply
    4,634.56x = 6,400 × 2,981.44
  4. Step 4: Simplify right side
    4,634.56x = 19,081,216
  5. Step 5: Solve for x
    x = 19,081,216/4,634.56
  6. Step 6: Final answer
    x = 4,117.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.